2 people working at the same rate will take 6 hours to paint a room.
14 (a)
Assuming that they all work at this rate,
how long will it take 3 people to paint the room?
[2 marks]
Answer all
the
hours
14 (6)
In fact, the third person works at a faster rate.
How does this affect the time to paint the room?
(1 mark]

HELPOO ASAPP

Answer:

See the image below.

Step-by-step explanation:

The decimals 0.43 and 0.39 are equivalent to  43/100 and 39/100. These decimals lie between 0 and 1.

Draw a number line, mark off and label the multiples of 0.10(e.g 0.10, 0.20) in the interval 0-1.  

Mark 0.43 between 0.4 and 0.5, a little closer to 0.4.

Mark 0.39 between 0.3 and 0.4, just behind 0.4.

Since 0.39 is smaller than 0.43( 0.39 lies on the left to 0.43), the inequality is:

              0.39<0.43

Answer:D because if one group received one box each group it would most likely be 25 students

Step-by-step explanation:

Answer:

1 is 25

Step-by-step explanation:

Using trigonometric ratios, the length in inches of the given triangle is 22 inches.

Given a right angled triangle.

The length of the hypotenuse is also given.

We can find the length of "a" using the sine trigonometric ratio.

We know that,

Sine of any angle is defined as the ratio of the opposite side to the hypotenuse of a right angled triangle.

Using the sine function here for the angle 30°,

sin (30°) = opposite side / adjacent side

sin (30°) = a / 44

Or,

a / 44 = sin (30°)

We know that sin (30°) = 1/2.

So,

a / 44 = 1/2

Multiplying both sides by 44, we get,

a = 44 / 2

a = 22 inches

Hence the length is 22 inches.

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Answer:

Step-by-step explanation:

sub 3 for x

6(3)-2

=18-2

=16

Answer:

16   i hope this helps!   :)

Step-by-step explanation:

given   x = 3

given   6x - 2

plug in the x value   6(3) - 2

simplify   18 - 2 = 16

answer   16

Answer:

1/8

Step-by-step explanation:

1/2 of 1/4 is 1/8

Answer:

x = 6

y = 4

Step-by-step explanation:

-x + 3y = 6 → times (-1)

x + 3y = 18

x - 3y = -6

x + 3y = 18

________ -

__-6y = -24

___y = -24/-6

___y = 4

x - 3y = -6

x - 3(4) = -6

x - 12 = -6

x = -6 + 12

x = 6

Answer:

x = 6, y = 4

Step-by-step explanation:

-x + 3y = 6  

x + 3y = 18

If you are looking for x and y it is...

x = 6

y = 4

Answer:1cm?

Step-by-step explanation:

Answer:

8.86 square cm

Step-by-step explanation:

Area of shaded region = Area of rectangle - Area of circle

[tex] = 3 \times 4 - \pi {r}^{2} \\ = 12 - 3.14 \times {1}^{2} \\ = 12 - 3.14 \\ = 8.86 \: {cm}^{2} [/tex]

The volume of the frustum of a regular square pyramid with slant height 6 and square bases of edges 5 and 9 is approximately 284.99 cm³, and the surface area is 274 cm².

To calculate the volume and the surface area (SA) of the frustum of a regular square pyramid with a slant height of 6 and bases with edges of length 5 and 9, we use the following formulas:

First, we need to find the perpendicular height (h) using Pythagorean theorem as the slant height is given.

For base edges of 5 (small square base) and 9 (large square base), the areas are:

The perimeters are:

The lateral surface area (LSA) = (P1 + P2) * 6 / 2 = (20 + 36) * 6 / 2 = 168 cm².

Assuming that the slant height is consistent across the frustum, we find 'h' using the Pythagorean theorem:

Let's denote the difference in the side lengths of the squares as 'd'. Therefore, d = (9 - 5) / 2 = 2.

h² + d² = slant height², so h² = 6² - 2² = 36 - 4 = 32 and h = √32.

Now, we use the volume formula:

V = (√32 / 3) * (25 + 81 + √(25 * 81)) = (5.657 / 3) * (106 + 45) = 5.657 * 50.333 = 284.99 cm³, approximately.

For the surface area:

SA = A1 + A2 + LSA = 25 + 81 + 168 = 274 cm².

Side BG is the diagonal through the interior of the cube

Step-by-step explanation:

Given Cube with

Top face  ABDC

Bottom Face EFHG

In a cube there are 4 interior diagonals

Side AD is the diagonal of the top face ABDC

Side CE is diagonal of the side face ACBE

Side DF is diagonal of  the side face BDHF

Side BG is the diagonal through the interior of the cube

Hence , the Side BG is the diagonal through the interior of the cube

Answer:2 weeks

Step-by-step explanation: if you subtract 1800 by 150 for the two weeks you will get 1500 and if you add 1100 by 200 every week you will get a hundred and fifty

Answer:

I do not know

Step-by-step explanation:

Answer:

2 gallons

Step-by-step explanation:

2 gallons of paint

Explanation:

If 3/4 of a gallon covers 2/5 of a wall, this means that a half of 3/4 gallons can cover 1/5 of a wall.

By knowing this, you can just make up your own expression

(the trick is to find a way to break it down to one, so you can multiply and manipulate it to save yourself some brain cells)

15

+

15

+

15

+

15

+

15

= whole wall

if

342

=

38

= amount of paint to cover 1/5 wall

then

(38)⋅5

=

38

+

38

+

38

+

38

+

38

=

158

≈

1.875

since we're talking about real life it would be 2 gallons of paint instead of 1.875 gallons to paint the whole wall

Hope this helps!

Final answer:

To solve for y when x equals -8 in the equation -x - 4y = 16, we substitute x with -8 and simplify the equation step-by-step to find y = -2.

Explanation:

To complete the solution of the equation and find the value of y when x equals -8, we need to substitute x with -8 in the given equation -x - 4y = 16. Let's solve the equation step-by-step:

The value of y when x equals -8 is -2.

Answer:

c) 20,000

Step-by-step explanation:

Number of digits = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 = 10,

Number of vowel letters = a, e, i, o, u = 5

Repetition of digits is permitted but repetition of vowel letters is not permitted

Let the password be presented in dash form as shown below:

____ ____ ____ ____ ____ =

  D       D       D       V       V

where:

D = possible number of digits to fill the spot

V = possible number of vowels to fill the spot

Since repetition of digits is permitted, each spot marked as D can be filled with any one of 10 digits from 0 - 9

The first spot marked V has 5 possible options (a, e, i, o, u) & the second spot marked V only has 4 possible options (since repetition of vowels is not permitted).

We then place the number of possibilities in each spot and multiply them to determine the number of passwords possible

10  *  10  *  10  *  5  *  4 = 20,000

Therefore, the number of possible passwords is 20,000

Answer:

statement: 2. both pairs of parallel lines are congruent

reason: 2. def. of a parallelogram

and that should be all you need

Answer:

Ling is 27: X=2 12x + 3 = 27

Step-by-step explanation:

12 times 2= 24 -> 24+3= 27

Answer:

Do you have a pic of the pie chart, or can you type in the percentages?

Step-by-step explanation:

Answer:

c = 96°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

c is an exterior angle, thus

c = 50° + 46° = 96°

Answer:

1 quarter, 1 dime, and 4 nickels

Step-by-step explanation:

First you subtract the 18 cents that were found in the pocket from the total amount of 73 cents to get the total amount of the 6 other coins:

73-18=55.

So the total amount of the 6 coins equals 55 cents.

The quarter = 25 cents

The dime = 10 cents

The 4 nickels =  5 + 5 + 5 + 5 = 20

1 quarter, 1 dime, and 4 nickels add up to the necessary total of 6 coins and when you add up the total cents of the quarter, dime, and nickels, 25 + 10 + 20 it comes to the sum of 55, which is how much the 6 coins are worth in total.

So therefore, the answer is 1 quarter, 1 dime, and 4 nickels.

Answer:

y=-5x+35

Step-by-step explanation:

Use the formula y = mx + b

m = slope, so plug in -5 as the slope

To find x-intercept we set y=0

We want the x-intercept to be 7 so we can plug that into the equation too

0=-5(7)+b

Lastly solve for b and you get your answer

The correct option is b.

The equation of the line with a slope of -5 and an x-intercept of 7 is y = -5x + 35.

The equation that represents a line with a slope of -5 and an x-intercept of 7 is y = mx + b, where m is the slope and b is the y-intercept.

Given that the slope is -5 and the x-intercept is 7, we can substitute these values into the equation to get y = -5x + b.

To find the value of b, we can substitute the x-intercept (7) and y-intercept (0) into the equation and solve for b. Plugging these values in, we get 0 = -5(7) + b. Solving for b gives us b = 35.

Therefore, the equation of the line is y = -5x + 35.

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The complete question is given below:

Which equation represents a line that has a slope of -5 and an X- intercept of 7?

a. y = 5x + 35

b. y = -5x + 35

c. y = -5x - 35

d. y = 35x -5

Answer:Function3

Step-by-step explanation:

Answer:

The answer would be 26?

Step-by-step explanation:

So you know the top is 20cm so the bottom would be the same. Then you know W’s circle is 2cm and X’s is 4 you would have to add the 2 and 4 to 20 to get 26?

Answer:

-21.

Step-by-step explanation:

x^2 + 4x - 21 = 0

To factor this we need 2 numbers whose sum id + 4 and whose produce is -21.

These are  - 3 and + 7 , so the factors are:

(x - 3)(x + & = 0

x = 3, -7.

Final answer:

The product of the solutions for the quadratic equation x² + 4x - 21 = 0 is -21, as per Vieta's formulas, which states that the product is c/a.

Explanation:

The question is asking for the product of the solutions of a quadratic equation, specifically x² + 4x - 21 = 0. In the context of the quadratic formula, a = 1, b = 4, and c = -21. The quadratic formula is given by x = [-b ± √(b² - 4ac)] / (2a). However, to find the product of the roots, we can apply Vieta's formulas, which states that the product of the roots of a quadratic ax² + bx + c = 0 is c/a.

For the equation in question, the product of the roots would be c/a = (-21)/1 = -21. This is a straightforward application of a standard property of quadratic equations. Therefore, we don't need to find the individual roots to answer the question about their product, saving time and effort.

Answer:

d. 3 × 10⁴

Step-by-step explanation:

9 × 10² = X × 3/10²

X = 9 × 10² × 10²/3

X = 3 × 10⁴

Answer:

3×10⁴

Step-by-step explanation:

the explanation is in the picture

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Answer:

3300 was on 3% and 6700 on 2,5%

Step-by-step explanation:

We can say that 'a' represents the price that will go on 3% interest and 'b' 2,5% interest.

Therefore;

a + b = 10 000

And

0,03a + 0,025b = 283.5 (0,03 means 3% etc)

You can move 'b' to the other side to leave 'a' on the LHS

0,03a = 283.5 - 0,025b - - > (divide both sides by 0,03)

a=9450 - 0,8333b

Substitute this equation as 'a' in the first equation to get:

9450 - 0,8333b + b = 10 000 (move 9450 to the RHS to leave values with b on the LHS)

-0,8333b + b = 10 000 - 9450

0,1666b = 550 (divide both sides by 0,1666)

b = 3,300

Therefore 'a' will be :

a= 10 000 - 3 300

a = 6700

I hope this helps.

After solving the system of equations, the amount in the account with 3% interest was $844.50 and the amount in the account with 2.5% interest was $9155.50 after one year.

Let's assume the amount invested at 3% interest is x and the amount invested at 2.5% interest is y. We can set up the following system of equations:

x + y = 10000 (equation 1)

0.03x + 0.025y = 283.50 (equation 2)

Multiply equation 1 by 0.03 and equation 2 by 100 to eliminate decimals:

0.03x + 0.03y = 300 (equation 3)

3x + 2.5y = 28350 (equation 4)

Now, subtract equation 3 from equation 4:

3x + 2.5y - 0.03x - 0.03y = 28350 - 300

Simplify:

2.97x + 2.47y = 28050 (equation 5)

Multiply equation 1 by 2.47 and equation 2 by -2.97 to eliminate y:

2.47x + 2.47y = 24700 (equation 6)

-2.97x - 2.97y = -842.25 (equation 7)

Add equation 6 and equation 7:

2.47x + 2.47y - 2.97x - 2.97y = 24700 - 842.25

Simplify:

-0.5x = -422.25

Divide both sides by -0.5:

x = 844.50

Substitute the value of x back into equation 1:

844.50 + y = 10000

Subtract 844.50 from both sides:

y = 9155.50

Therefore, there was $844.50 in the account with 3% interest and $9155.50 in the account with 2.5% interest after one year passed.

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Answer:

would go for C, SSS (side side side theorem)

Answer:

it's answer is D -92

As -57-19-16= -92

Answer:

D)

–92

Step-by-step explanation:

–57 – 19 – 16 =

= - (57 + 19 + 16)

= - (+ 92)

= - 92

The condo will be worth approximately $104,786 in 5 years.

To calculate the future value of the condo, we can use the formula: Future Value = Present Value * (1 + Interest Rate)^Number of Years. Given that the condo was bought for $83,000 and will appreciate at a rate of 6% per year, we can substitute these values into the formula to find the future value.

Future Value = $83,000 * (1 + 0.06)^5 = $104,785.81.

Therefore, the condo will be worth approximately $104,786 in 5 years.

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The value of the condo will be approximately $111,073 in 5 years.

To find out how much your condo will be worth in 5 years if it appreciates at 6% per year, you can use the compound interest formula:

Future Value (FV) = Present Value (PV) * (1 + Rate)ᵗᶦᵐ

Here:

Plug the values into the formula:

FV = 83,000 * (1 + 0.06)⁵

First, calculate the growth factor:

(1 + 0.06) = 1.06

Next, raise the growth factor to the power of 5:

1.06⁵ = 1.3382

Finally, multiply this result by the present value:

83,000 * 1.3382 = $111,073.